Answer:
the last one
Step-by-step explanation:
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Answer:
The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h
Step-by-step explanation:
At noon the location of Lan = 300 km north of Makenna
Lan's direction = South
Lan's speed = 60 km/h
Makenna's direction and speed = West at 75 km/h
The distance Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km
The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km
The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km
Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.
By Pythagoras' theorem, we have;
s² = x² + y²
The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61
ds²/dt = dx²/dt + dy²/dt
2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt
2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900
ds/dt = 900/(2×30·√61) ≈ 1.92
The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h
The reasoning of Frank is not correct. The value of 5 is the thousandths place is 1/10 times the value of 5 in the hundredths place instead of being 10 times.
In the question, we are given the number 0.555.
We can write it as:-
0.555 = 0.500 + 0.050 + 0.005
0.500 is the value of tenths place
0.050 is the value of hundredths place
0.005 is the value of thousandths place
We know that,
0.050*(1/10) = 0.050/10 = 0.005
Hence, the value of 5 is the thousandths place is 1/10 times the value of 5 in the hundredths place.
To learn more about thousandths place, here:-
brainly.com/question/21467438
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8 and 1/5
I'm just writing random stuff now so i can actually answer this lol
